Question

Suppose that there are two types of tickets to a show: adult and children. The combined cost of one adult ticket and one child ticket is $25. For one performance, 45 adult tickets and 60 children tickets were sold. The total amount paid for the tickets was $1170. What was the price of each kind of ticket?

Answer 1

the price of each kind of ticket is $22 and $3 respectively

Explanation:

Let us assume the adult be x

And, the children be y

Now the equations would be

x + y = $25

x = $25 - y ............(1)

45x + 60y = $1,170

3x + 4y = $78........(ii)

Now put the x value in the equation 2

3($25 - y) + 4y = $78

$75 - 3y + 4y = $78

y = $3

x = $25 - y

= $25 - $3

= $22

hence, the price of each kind of ticket is $22 and $3 respectively